Mathematics, 04.09.2019 00:30 estherstlouis7812
Find the average rate of change of the function f(x) equals -1x^2-4x-3 from x=-1 to x=5
Answers: 1
![\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=-x^2-4x-3 \qquad \begin{cases} x_1=-1\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(-1)}{5-(-1)} \\\\\\ \cfrac{[-(5)^2-4(5)-3]~~-~~[-(-1)^2-4(-1)-3]}{5+1} \\\\\\ \cfrac{[-25-20-3]-[-1+4-3]}{6}\implies \cfrac{[-48]-[0]}{6}\implies \cfrac{-48}{6}\implies -8](/tpl/images/0222/2432/343fe.png)
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Find the average rate of change of the function f(x) equals -1x^2-4x-3 from x=-1 to x=5...
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